Use the image to answer the question.

A coordinate plane's x-axis ranges from negative 7 to 10 and its y-axis ranges from negative 3 to 7, both by 1-unit increments. 6 points are marked and plotted forming 2 triangles, 1 dotted and 1 solid.

Determine whether triangle DEF
is a translation of triangle ABC
. Enter the number of the correct statement.

Statement #1: Triangle DEF
is a translation of triangle ABC
because each point is translated 8 units to the right and 2 units down.

Statement #2: Triangle DEF
is not a translation of triangle ABC
because the triangles are not congruent.

(1 point)
Statement #
is correct.

1 answer

Statement #1: Triangle DEF is a translation of triangle ABC because each point is translated 8 units to the right and 2 units down.

This statement is not correct. Translation involves moving a figure without changing its shape or size. In the given image, triangle DEF is not simply a translation of triangle ABC because the triangles are not congruent. Therefore, Statement #2: Triangle DEF is not a translation of triangle ABC because the triangles are not congruent is the correct statement.